Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₂

Direct product G=N×Q with N=C₂³ and Q=D₂₂

		d	ρ	Label	ID
C₂⁴×D₁₁		176		C2^4xD11	352,194

Semidirect products G=N:Q with N=C₂³ and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁D₂₂ = C₂³⋊D₂₂	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	88		C2^3:1D22	352,132
C₂³⋊₂D₂₂ = D₄⋊₆D₂₂	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	88	4	C2^3:2D22	352,179
C₂³⋊₃D₂₂ = C₂×D₄×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	88		C2^3:3D22	352,177
C₂³⋊₄D₂₂ = C₂²×C₁₁⋊D₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3:4D22	352,187

Non-split extensions G=N.Q with N=C₂³ and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₂₂ = C₂².₂D₄₄	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	88	4	C2^3.1D22	352,12
C₂³.₂D₂₂ = C₂³⋊Dic₁₁	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	88	4	C2^3.2D22	352,40
C₂³.₃D₂₂ = C₂³.D₂₂	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.3D22	352,74
C₂³.₄D₂₂ = D₂₂.D₄	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.4D22	352,78
C₂³.₅D₂₂ = D₂₂⋊D₄	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.5D22	352,79
C₂³.₆D₂₂ = Dic₁₁.D₄	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.6D22	352,80
C₂³.₇D₂₂ = C₄₄.₁₇D₄	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.7D22	352,131
C₂³.₈D₂₂ = C₄₄⋊₂D₄	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.8D22	352,133
C₂³.₉D₂₂ = Dic₁₁⋊D₄	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.9D22	352,134
C₂³.₁₀D₂₂ = C₄₄⋊D₄	φ: D₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.10D22	352,135
C₂³.₁₁D₂₂ = C₂³.₁₁D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	176		C2^3.11D22	352,72
C₂³.₁₂D₂₂ = C₂²⋊Dic₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	176		C2^3.12D22	352,73
C₂³.₁₃D₂₂ = C₂²⋊C₄×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	88		C2^3.13D22	352,75
C₂³.₁₄D₂₂ = Dic₁₁⋊₄D₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	176		C2^3.14D22	352,76
C₂³.₁₅D₂₂ = C₂²⋊D₄₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	88		C2^3.15D22	352,77
C₂³.₁₆D₂₂ = C₂².D₄₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	176		C2^3.16D22	352,81
C₂³.₁₇D₂₂ = D₄×Dic₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	176		C2^3.17D22	352,129
C₂³.₁₈D₂₂ = C₂³.₁₈D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	176		C2^3.18D22	352,130
C₂³.₁₉D₂₂ = C₂×D₄⋊₂D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂³	176		C2^3.19D22	352,178
C₂³.₂₀D₂₂ = C₄₄.₄₈D₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.20D22	352,119
C₂³.₂₁D₂₂ = C₂³.₂₁D₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.21D22	352,121
C₂³.₂₂D₂₂ = C₄×C₁₁⋊D₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.22D22	352,123
C₂³.₂₃D₂₂ = C₂³.₂₃D₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.23D22	352,124
C₂³.₂₄D₂₂ = C₄₄⋊₇D₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.24D22	352,125
C₂³.₂₅D₂₂ = C₂⁴⋊D₁₁	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂³	88		C2^3.25D22	352,148
C₂³.₂₆D₂₂ = C₂×D₄₄⋊₅C₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.26D22	352,176
C₂³.₂₇D₂₂ = C₂₂.C₄²	central extension (φ=1)	352		C2^3.27D22	352,37
C₂³.₂₈D₂₂ = C₂×C₄×Dic₁₁	central extension (φ=1)	352		C2^3.28D22	352,117
C₂³.₂₉D₂₂ = C₂×Dic₁₁⋊C₄	central extension (φ=1)	352		C2^3.29D22	352,118
C₂³.₃₀D₂₂ = C₂×C₄₄⋊C₄	central extension (φ=1)	352		C2^3.30D22	352,120
C₂³.₃₁D₂₂ = C₂×D₂₂⋊C₄	central extension (φ=1)	176		C2^3.31D22	352,122
C₂³.₃₂D₂₂ = C₂×C₂³.D₁₁	central extension (φ=1)	176		C2^3.32D22	352,147
C₂³.₃₃D₂₂ = C₂²×Dic₂₂	central extension (φ=1)	352		C2^3.33D22	352,173
C₂³.₃₄D₂₂ = C₂²×C₄×D₁₁	central extension (φ=1)	176		C2^3.34D22	352,174
C₂³.₃₅D₂₂ = C₂²×D₄₄	central extension (φ=1)	176		C2^3.35D22	352,175
C₂³.₃₆D₂₂ = C₂³×Dic₁₁	central extension (φ=1)	352		C2^3.36D22	352,186

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Extensions 1→N→G→Q→1 with N=C23 and Q=D22

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₂